Simple carb's can be a very tricky subject and I would tell you complex carb's are a a necesstiy to healthy lifestyle's.
Complex carbohydrates should supply about half the calories in your diet; however, the best complex carbohydrates come from legumes, vegetables, breads, pasta and cereals. Choose 100% whole wheat or 100% whole grain brad cereal and pasta products over refined flour products because they contain more fiber. The extra fiber slows down the absorption of the carbohydrates so you feel full longer and be less likely to over-eat throughout the day.
As you can see the words-NO CARB DIET-can generally be misconstrued....I would argue there is no such diet but you want to watch the simple carb's.